Finding the Third Proportional to 47,332 and 74,214
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Solution
The third proportional to 47,332 and 74,214 is: 116,363.51
Step by Step Solution
- Step 1: Write the proportion equation
47,332 : 74,214 = 74,214 : x - Step 2: Convert to fraction form
47,332/74,214 = 74,214/x - Step 3: Cross multiply
47,332x = 74,214 × 74,214 - Step 4: Simplify right side
47,332x = 5,507,717,796 - Step 5: Solve for x
x = 5,507,717,796/47,332 - Step 6: Final answer
x = 116,363.51
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.